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3. Consider an economy with a current inflation rate that is higher than 8% and a...

3. Consider an economy with a current inflation rate that is higher than 8% and a NAIRU unemployment rate of un= 6% (0.06). The short run Phillips curve is π=Eπ−2(u−un)Assume that Okun’s Law holds so that a 1 percentage point increase in the unemploy-ment rate maintained for one year reduces GDP by 2%. Consider a one-year reduction in inflation.

(a) If that year, Eπ= 0.08 and π = 0.04, what is the unemployment rate? By what percentage does output grow?

(b) If that year, Eπ = 0.04 and π = 0.04, what is the unemployment rate? By what percentage does output grow?

(c) Explain why your answers to (a) and (b) differ.

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